A conservative flux‐splitting method for steady shock capturing

2020 ◽  
Author(s):  
Zhibin Zhu ◽  
Qing Shang ◽  
Qing Shen
Keyword(s):  
Splitting Method ◽  
Shock Capturing ◽  
Flux Splitting ◽  
Steady Shock ◽  
Conservative Flux

A HIGH ORDER KINETIC FLUX-SPLITTING METHOD FOR THE SPECIAL RELATIVISTIC HYDRODYNAMICS

2005 ◽  
Vol 02 (01) ◽  
pp. 49-74 ◽  
Author(s):  
SHAMSUL QAMAR ◽  
GERALD WARNECKE
Keyword(s):  
High Resolution ◽  
Kinetic Theory ◽  
Splitting Method ◽  
High Order ◽  
Shock Capturing ◽  
High Order Accuracy ◽  
Order Kinetic ◽  
Relativistic Hydrodynamics ◽  
Order Accuracy ◽  
Flux Splitting

In this article we present a flux splitting method based on gas-kinetic theory for the special relativistic hydrodynamics (SRHD) [Landau and Lifshitz, Fluid Mechanics, Pergamon New York, 1987] in one and two space dimensions. This kinetic method is based on the direct splitting of the macroscopic flux functions with the consideration of particle transport. At the same time, particle "collisions" are implemented in the free transport process to reduce numerical dissipation. Due to the nonlinear relations between conservative and primitive variables and the consequent complexity of the Jacobian matrix, the multi-dimensional shock-capturing numerical schemes for SRHD are computationally more expensive. All the previous methods presented for the solution of these equations were based on the macroscopic continuum description. These upwind high-resolution shock-capturing (HRSC) schemes, which were originally made for non-relativistic flows, were extended to SRHD. However our method, which is based on kinetic theory is more related to the physics of these equations and is very efficient, robust, and easy to implement. In order to get high order accuracy in space, we use a third order central weighted essentially non-oscillatory (CWENO) finite difference interpolation routine. To achieve high order accuracy in time we use a Runge-Kutta time stepping method. The one- and two-dimensional computations reported in this paper show the desired accuracy, high resolution, and robustness of the method.

A low diffusion flux splitting method for inviscid compressible flows

2015 ◽  
Vol 112 ◽  
pp. 83-93 ◽  
Author(s):  
Wenjia Xie ◽  
Hua Li ◽  
Zhengyu Tian ◽  
Sha Pan
Keyword(s):  
Compressible Flows ◽  
Diffusion Flux ◽  
Splitting Method ◽  
Flux Splitting ◽  
Inviscid Compressible Flows

A flux splitting method for the Baer–Nunziato equations of compressible two-phase flow

2016 ◽  
Vol 323 ◽  
pp. 45-74 ◽  
Author(s):  
S.A. Tokareva ◽  
E.F. Toro
Keyword(s):  
Two Phase Flow ◽  
Splitting Method ◽  
Phase Flow ◽  
Two Phase ◽  
Flux Splitting

scholarly journals A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas

2016 ◽  
Vol 310 ◽  
pp. 202-212 ◽  
Author(s):  
Rei Kawashima ◽  
Kimiya Komurasaki ◽  
Tony Schönherr
Keyword(s):  
Hyperbolic Equation ◽  
Splitting Method ◽  
Equation System ◽  
Flux Splitting

SIMPLE CONSERVATIVE FLUX SPLITTING FOR MULTI-COMPONENT FLOW CALCULATIONS

2000 ◽  
Vol 38 (2) ◽  
pp. 203-222 ◽  
Author(s):  
Yang-Yao Niu
Keyword(s):  
Flux Splitting ◽  
Conservative Flux

scholarly journals Comparative Study of Flux splitting Method for Steady/Unsteady Flow.

1997 ◽  
Vol 63 (612) ◽  
pp. 2676-2683
Author(s):  
Yujiro SUZUKI ◽  
Akishige ITO ◽  
Takahiko TANAHASHI
Keyword(s):  
Comparative Study ◽  
Unsteady Flow ◽  
Splitting Method ◽  
Flux Splitting

scholarly journals An Upstream Flux Splitting Method for Hydrodynamic Modeling of Deep Submicron Devices

VLSI Design ◽  
2001 ◽  
Vol 13 (1-4) ◽  
pp. 329-334
Author(s):  
Min Shen ◽  
Wai-Kay Yip ◽  
Ming-C. Cheng ◽  
J. J. Liou
Keyword(s):  
Splitting Method ◽  
Deep Submicron ◽  
Fluid System ◽  
Flux Splitting ◽  
Gaas Mesfet ◽  
Highly Nonlinear ◽  
Submicron Devices ◽  
Efficiency And Effectiveness ◽  
Semiconductor Equations ◽  
Dynamics Problems

The advective upstream splitting method (AUSM) developed for fluid dynamics problems has been applied to solving hydrodynamic semiconductor equations coupled with the Poisson’s equation. In the AUSM, the flux vectors of a fluid system are split into a convective component and a diffusive pressure component. Discretization of these two physically distinct fluxes is thus performed separately in AUSM. Application of the developed hydrodynamic AUSM to a GaAs MESFET with a gate length of 0.1 μm has demonstrated its simplicity, efficiency and effectiveness in dealing with the highly nonlinear hydrodynamic device system.

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